Rounding out the year, Rapid Urgent Care expands to Baton Rouge. The newest Rapid Urgent Care will be located on Essen Lane across from Walgreens and Our Lady of the Lake Regional Medical Center. Rapid Urgent Care - Essen, will be opening mid December to serve the community of Baton Rouge and the surrounding areas. If you're looking for high quality medical care that fits your schedule, you've come to the right place. There's no need to make an appointment to see an excellent physician, just walk-in. The physicians of Rapid Urgent Care - Essen are looking forward to serving the community of Baton Rouge and surrounding areas.